Search for Heavy Long-Lived Particles that Decay to Photons at CDF II

We present the first search for heavy, long-lived particles that decay to photons at a hadron collider. We use a sample of $\ensuremath{\gamma}+\mathrm{\text{jet}}+\mathrm{\text{missing}}$ transverse energy events in $p\overline{p}$ collisions at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$ taken with the CDF II detector. Candidate events are selected based on the arrival time of the photon at the detector. Using an integrated luminosity of $570\text{ }\text{ }{\mathrm{pb}}^{\ensuremath{-}1}$ of collision data, we observe 2 events, consistent with the background estimate of $1.3\ifmmode\pm\else\textpm\fi{}0.7$ events. While our search strategy does not rely on model-specific dynamics, we set cross section limits in a supersymmetric model with ${\stackrel{\texttildelow{}}{\ensuremath{\chi}}}_{1}^{0}\ensuremath{\rightarrow}\ensuremath{\gamma}\stackrel{\texttildelow{}}{G}$ and place the world-best 95% C.L. lower limit on the ${\stackrel{\texttildelow{}}{\ensuremath{\chi}}}_{1}^{0}$ mass of $101\text{ }\text{ }\mathrm{GeV}/{c}^{2}$ at ${\ensuremath{\tau}}_{{\stackrel{\texttildelow{}}{\ensuremath{\chi}}}_{1}^{0}}=5\text{ }\text{ }\mathrm{ns}$.

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